Paper Citation Record · LEDGER

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation

As of 7 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.07107.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.07107 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:59:03.724366Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact1
verified fuzzy16
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9529a409-4ebf-49c7-9f30-9e123de2cc5c · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:17.899986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a0ca003-f7cc-4812-86a8-ca81f72c6142 · outbound

This paper cites From C to Cp.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation From C to Cp

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:17.673006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 32b1c9a1-b2ce-48ca-9852-2acd8431a0f6 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:17.370714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 07f2fbe0-7c6a-487f-acf7-b61b55df3673 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:17.101783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 138d273e-f7b5-4eee-b304-76088f2f9209 · outbound

This paper cites American Mathematical Society Colloquium Publications, 64.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation American Mathematical Society Colloquium Publications, 64

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:16.618668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation af5da758-761d-4bba-a093-77aa71e424fa · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:16.330180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9770c3b6-a3bc-4ee7-8a45-a3d286b2acc6 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:16.083474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 84f86b57-cdc3-4e4c-8195-1b9a814e8f97 · outbound

This paper cites Ramanujan J.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Ramanujan J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:15.800138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91447da6-b620-4cc2-8bc4-43e89889571a · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:15.549945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 028a420c-8029-4acf-9e33-61312181ac1e · outbound

This paper cites Acta Arith.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Acta Arith

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:15.319251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5618b83d-04f9-413e-81be-fdfb7926fed6 · outbound

This paper cites Number Theory 11 (1979), no.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Number Theory 11 (1979), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:15.024434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26b46007-f8f1-4c01-91c9-d54a4b32d841 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:12.580437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ffb7a6b7-4a3c-4d3f-86e6-94f3ce12b1e4 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:10.256158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9dc68531-af8d-4b0f-97c7-0b1b88244d6e · outbound

This paper cites On the $p$-adic values of the weight two Eisenstein series for supersingular primes.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation On the $p$-adic values of the weight two Eisenstein series for supersingular primes

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:59:03.943461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8e245e2-d314-4649-b0b4-9694c1790219 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:10.054641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1da057f4-0b5c-4e55-8bd1-0283c85c12f3 · outbound

This paper cites Corrected reprint of the 1978 original.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Corrected reprint of the 1978 original

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:09.796550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0e94aa5-9735-4322-8ddf-085b43a46a32 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:09.565572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2dd18876-8e57-4290-a7ce-af4b52dea673 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:09.317902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9c18945b-29f8-4886-9da4-52b9b5caa617 · outbound

This paper cites Springer- Verlag, New York, 2004.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Springer- Verlag, New York, 2004

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:09.160379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 81119d74-907d-411a-8497-5cc2875e6726 · outbound

This paper cites Computational perspectives on number theory (Chicago, IL, 1995), 97-126, AMS/IP Stud.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Computational perspectives on number theory (Chicago, IL, 1995), 97-126, AMS/IP Stud

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:08.918594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ef64cfbc-2dca-4fdd-b8d2-a0416565afc3 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:08.622442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 98090375-ae84-48e9-9cab-fb847f1e0872 · outbound

This paper cites Automorphic forms, representation theory and arithmetic (Bombay, 1979), pp.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Automorphic forms, representation theory and arithmetic (Bombay, 1979), pp

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:08.390174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7537b409-1e17-4dc7-b890-b81581a8ffa7 · outbound

This paper cites With appendixes by D.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation With appendixes by D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:08.163548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0d99599-15ad-429d-acb9-bb3aef82d856 · outbound

This paper cites J., The congruence (( p − 1)/2)! ≡ ±1 (mod p), Amer.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation J., The congruence (( p − 1)/2)! ≡ ±1 (mod p), Amer

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:07.945905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6adc704-4229-476d-bcbc-31eb3c5b91b3 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:07.725178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 17b0a3c7-09be-4878-9639-9ecbb5641684 · outbound

This paper cites Springer-Verlag, New York, 2000.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Springer-Verlag, New York, 2000

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:07.456444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ce5a8236-541d-49f3-b7e6-3cece47c9ccc · outbound

This paper cites Corrected reprint of the 1986 original.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Corrected reprint of the 1986 original

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:06.518666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ef7a7749-a058-42d5-b2d6-73550e2ac489 · outbound

This paper cites Ramanujan J.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Ramanujan J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:05.400232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09d1bba6-55df-4213-b2bf-4298d896bf3e · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:05.145107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 156df759-a977-4102-a095-a61fbefb3aa1 · outbound

This paper cites Classics in Mathematics.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Classics in Mathematics

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:04.913936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 86741c1f-81b2-44e3-b779-5d3b9f6424f5 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:04.714276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 150a38ac-9be1-4a31-8222-c586e304d34e · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:04.476441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9a3a3f14-6f40-4412-9a63-831427cfb332 · outbound

This paper cites Bordeaux, 2022, http://pari.math.u-bordeaux.fr/ Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu, HI, 96822-2273 Email address : pavel@math.hawaii.edu.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Bordeaux, 2022, http://pari.math.u-bordeaux.fr/ Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu, HI, 96822-2273 Email address : pavel@math.hawaii.edu

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:04.269414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 117b6145-f397-4ff3-a9cc-4001cb926d15 · outbound

This paper cites an unresolved cited work.

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation Unresolved cited work

Reference 476

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:16.888736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.